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Parameterization of the Woods-Saxon Potential for Shell-Model Calculations

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arxiv 0709.3525 v1 pith:DTWF6V3I submitted 2007-09-21 nucl-th

classification nucl-th
keywords nuclearpotentialwoods-saxoncalculationsparameterizationprovidesshellsingle-particle
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The drastically expanded use of the Woods-Saxon potential in modern day nuclear physics and the availability of new nuclear data motivated us to review and optimize the parameters of this potential to the experimental single-nucleon spectra around the doubly-magic nuclei between $^{16}$O and $^{208}$Pb. We obtain a parameterization which is applicable over the whole nuclear chart for nuclides between $^{16}$O and the heaviest elements. Apart from Coulomb components the obtained parameter set is isospin symmetric. We demonstrate that the potential provides a good description of the nuclear mean field leading to quality single-particle spectra, nuclear radii, prediction of drip-lines, shell closures and other properties. Thus presented Woods-Saxon fit provides adequate single-particle basis for shell model calculations bridging over into the continuum.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A relativistic mechanism for the enhanced isovector spin-orbit interaction suggested by parity-violating electron scattering experiments

    nucl-th 2025-11 conditional novelty 6.0 of 10

    An enhanced isovector tensor coupling in a covariant density functional fits both PREX-II and CREX weak-charge form-factor differences, acting through a strong isovector spin-orbit interaction.

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    The authors use Gaussian expansion and complex scaling to predict bound and quasi-bound energies of muonic and tauonic hydrogen-molecule analogues, reporting first values for ppμμ and ppττ.

  3. New shell-model calculations of the $\delta_C$ correction to superallowed $0^+\rightarrow0^+$ nuclear $\beta$ decay and standard-model implications

    nucl-th 2025-08 unverdicted novelty 5.0 of 10

    New shell-model calculations update the radial-mismatch correction for superallowed beta decays and yield |V_ud| = 0.97359(33).

  4. Scaling Laws for Three-Body Nuclear Contacts

    nucl-th 2026-07 unverdicted novelty 4.0 of 10

    Three-body nuclear contacts in nuclei follow a scaling law derived from the semi-empirical mass formula that reproduces the authors' computed values across medium-mass and heavy nuclei.

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